4 10 12 14 18 18 48 26 40 31 32 24 26 20 Click the icon to view the steps for finding influential points. (a) Construct a scatterplot of the data Choose the correct graph below. OB. OC. OD. OA. Ay 40 Q Ay 12- 12- 50- 40 4. -50 -12 40 50 (b) identify any possible outliers. O A. The point (18,20) may be an outlier. O B. The point (48,5) may be an outlier. O C. The point (8,40) may be an outlier. O D. The point (4,26) may be an outher. O E. There are no outliers. (c) Determine if the point is influential. The change in slope or intercept is significant if it is larger than 10% V significantly d fferent, and the intercepts V significanitly different. The point an influential point because the slopes with the point included and without the point included

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O Steps for Finding Influential Points
An influential point is a point in a data set that can greatly affect a regression line.
An outlier may or may not be an influential point. To determine if a point is
influential, find the regression lines including all the points in the data set, and
excluding the possible influential point. If the slope or y-intercept of the regression
line shows significant changes, the point can be considered influential. An
influential point can be removed from a data set only if there is proper justification.
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Transcribed Image Text:O Steps for Finding Influential Points An influential point is a point in a data set that can greatly affect a regression line. An outlier may or may not be an influential point. To determine if a point is influential, find the regression lines including all the points in the data set, and excluding the possible influential point. If the slope or y-intercept of the regression line shows significant changes, the point can be considered influential. An influential point can be removed from a data set only if there is proper justification. Print Done
Use the data in the table below to complete parts (a) through (c).
4
8
10
12
14
18
18
48
26
40
31
32
24
26
20
Click the icon to view the steps for finding influential points.
(a) Construct a scatterplot of the data. Choose the correct graph below.
O A.
OB.
O C.
OD.
Ay
404
Q
12-
Ay
50-
12
50
0-
50
-12-
40
(b) identify any possible outliers.
O A. The point (18,20) may be an outlier.
O B. The point (48,5) may be an outlier.
O C. The point (8,40) may be an outlier.
O D. The point (4,26) may be an outlier,
O E. There are no outliers.
(c) Determine if the point is influential. The change in slope or intercept is significant if it is larger than 10%.
The point
Van influential point because the slopes with the point included and without the point included
V significantly dfferent, and the intercepts
V significaritly different.
Click to select your answer.
Transcribed Image Text:Use the data in the table below to complete parts (a) through (c). 4 8 10 12 14 18 18 48 26 40 31 32 24 26 20 Click the icon to view the steps for finding influential points. (a) Construct a scatterplot of the data. Choose the correct graph below. O A. OB. O C. OD. Ay 404 Q 12- Ay 50- 12 50 0- 50 -12- 40 (b) identify any possible outliers. O A. The point (18,20) may be an outlier. O B. The point (48,5) may be an outlier. O C. The point (8,40) may be an outlier. O D. The point (4,26) may be an outlier, O E. There are no outliers. (c) Determine if the point is influential. The change in slope or intercept is significant if it is larger than 10%. The point Van influential point because the slopes with the point included and without the point included V significantly dfferent, and the intercepts V significaritly different. Click to select your answer.
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